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Finding the Third Proportional to 730.27 and 1,584.56

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Solution

The third proportional to 730.27 and 1,584.56 is: 3,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,584.56 = 1,584.56 : x
  2. Step 2: Convert to fraction form
    730.27/1,584.56 = 1,584.56/x
  3. Step 3: Cross multiply
    730.27x = 1,584.56 × 1,584.56
  4. Step 4: Simplify right side
    730.27x = 2,510,838.32
  5. Step 5: Solve for x
    x = 2,510,838.32/730.27
  6. Step 6: Final answer
    x = 3,438.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.